I arrived at my target site on Mono Lake with minutes to spare. My DeLorme PN-20 GPS has a Sun/Moon feature that confirmed the moon rise time, but it also shows a compass with the Sun and moon on it, so I could point the sun symbol towards the setting sun and there was an arrow pointing to the approximate place on the horizon where the moon would come up. I walked a couple of hundred yards until I could line that forecasted rise spot up with the tufa limestone structures that I wanted to shoot. By the way, you can get a Java program for cell phones that support Java that will do the same thing (most phones know your approximate location info from the position of local cell towers, some provide location based services using a GPS signal).
The moon started to peek out over the hills right on time, and I adjusted my tripod position maybe 6-12 feet to place the moon where I wanted it in the scene. I started with a 70-200mm lense and gradually worked my way up to a wide angle lens as the sunset darkened and spread across the sky.